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Finding the Fourth Proportional to 437.13, 656.10 and 346.82

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Solution

The fourth proportional to 437.13, 656.10 and 346.82 is: 520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    437.13 : 656.10 = 346.82 : x
  2. Step 2: Convert to fraction form
    437.13/656.10 = 346.82/x
  3. Step 3: Cross multiply
    437.13x = 656.10 × 346.82
  4. Step 4: Simplify right side
    437.13x = 227,545.32
  5. Step 5: Solve for x
    x = 227,545.32/437.13
  6. Step 6: Final answer
    x = 520.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.